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Finding the Fourth Proportional to 17,365.80, 23,965.74 and 9,812.45

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Solution

The fourth proportional to 17,365.80, 23,965.74 and 9,812.45 is: 13,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,365.80 : 23,965.74 = 9,812.45 : x
  2. Step 2: Convert to fraction form
    17,365.80/23,965.74 = 9,812.45/x
  3. Step 3: Cross multiply
    17,365.80x = 23,965.74 × 9,812.45
  4. Step 4: Simplify right side
    17,365.80x = 235,162,617.97
  5. Step 5: Solve for x
    x = 235,162,617.97/17,365.80
  6. Step 6: Final answer
    x = 13,541.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.